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121153421041 = 107232532
BaseRepresentation
bin111000011010101001…
…1100111111011110001
3102120201101112110201021
41300311103213323301
53441110233433131
6131353534135441
711516203041652
oct1606523477361
9376641473637
10121153421041
1147420a47454
121b592051581
13b56a150623
145c145cd529
15324138ee11
hex1c354e7ef1

121153421041 has 9 divisors (see below), whose sum is σ = 122333884491. Its totient is φ = 119984250552.

The previous prime is 121153421033. The next prime is 121153421083. The reversal of 121153421041 is 140124351121.

It is a happy number.

The square root of 121153421041 is 348071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120558256225 + 595164816 = 347215^2 + 24396^2 .

It is not a de Polignac number, because 121153421041 - 23 = 121153421033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121153420997 and 121153421015.

It is not an unprimeable number, because it can be changed into a prime (121153421021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37241971 + ... + 37245223.

Almost surely, 2121153421041 is an apocalyptic number.

121153421041 is the 348071-st square number.

121153421041 is the 174036-th centered octagonal number.

It is an amenable number.

121153421041 is a deficient number, since it is larger than the sum of its proper divisors (1180463450).

121153421041 is an frugal number, since it uses more digits than its factorization.

121153421041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 121153421041 by its sum of digits (25), we get a square (3028835526025 = 17403552).

Adding to 121153421041 its reverse (140124351121), we get a palindrome (261277772162).

The spelling of 121153421041 in words is "one hundred twenty-one billion, one hundred fifty-three million, four hundred twenty-one thousand, forty-one".

Divisors: 1 107 3253 11449 348071 10582009 37243597 1132274963 121153421041